La Crema: A case study of mutual fire insurance

We analyze a mutual fire insurance mechanism usedin Andorra, which is called La Crema in the locallanguage. This mechanism relies on households'announced property values to determine how much ahousehold is reimbursed in the case of a fire andhow payments are apportioned among other households.The only Pareto eficient allocation reachablethrough the mechanism requires that all householdshonestly report the true value of their property.However, such honest reporting is not an equilibriumexcept in the extreme case where the property valuesare identical for all households. Nevertheless, as the size of the society becomes large, thebenefits from deviating from truthful reportingvanish, and all of the non-degenerate equilibriaof the mechanism are nearly truthful andapproximately Pareto efficient.